Fullness of connes spectra and the connes hopf kernel
作者:
James Osterburg,
Xue Yao,
期刊:
Communications in Algebra
(Taylor Available online 1995)
卷期:
Volume 23,
issue 3
页码: 1027-1034
ISSN:0092-7872
年代: 1995
DOI:10.1080/00927879508825266
出版商: Marcel Dekker, Inc.
关键词: Primary 16W30;Secondary 16W20;Connes spectrum;Hopf algebra actions;Hopf kernel.
数据来源: Taylor
摘要:
Let H be a finite dimensional, semisimple Hopf algebra over a field K and let A be an H- module algebra. Assume K is a splitting field for H and that H is strongly semiprime. If A is H- semiprime, we show the Connes spectrum of H acting on A consists of all of the irreducible representations of H is equivalent to every nonzero annihilator ideal of the smash product meets A nontrivially. If H is also cocommutative, we let I′be the intersection of the annihilators of the modules in the Connes spectrum. We find some of theinformation encoded in the Hopf kernel of the natural map from H to H/I′.
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